216373858640100 has 288 divisors, whose sum is σ = 796147890773760. Its totient is φ = 49383826053120.

The previous prime is 216373858640011. The next prime is 216373858640117. The reversal of 216373858640100 is 1046858373612.

216373858640100 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 7 + 3 + 8 + 586 + 40 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4340092 + ... + 21250508.

It is an arithmetic number, because the mean of its divisors is an integer number (2764402398520).

Almost surely, 2^{216373858640100} is an apocalyptic number.

216373858640100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216373858640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398073945386880).

216373858640100 is an abundant number, since it is smaller than the sum of its proper divisors (579774032133660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216373858640100 is a wasteful number, since it uses less digits than its factorization.

216373858640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16911124 (or 16911111 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 216373858640100 in words is "two hundred sixteen trillion, three hundred seventy-three billion, eight hundred fifty-eight million, six hundred forty thousand, one hundred".